Tits buildings and the model theory of groups
著者
書誌事項
Tits buildings and the model theory of groups
（London Mathematical Society lecture note series, 291）
Cambridge University Press, 2002
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注記
Includes bibliographical references
内容説明・目次
内容説明
This volume contains selected papers by leading researchers from the international conference entitled Tits Buildings and the Model Theory of Groups, held in Wurzburg in 2000. The first part of the book provides a general introduction to many aspects of buildings and their geometries, based on short lecture courses given at the conference. The rest of the book comprises survey and research articles on model theoretic results and techniques, showing the vitality and richness of these branches of mathematics. Among the most fruitful techniques, amalgamation constructions a la Hrushovski are explained and classified as they continue to play an important role both in model theory and geometry. The articles succeed in demonstrating the close connection between geometry, group theory and model theory. The book will be invaluable to graduate students as well as experienced researchers working in these areas of mathematics.
目次
- Preface
- 1. Basics on buildings Theo Grundhoefer
- 2. An introduction to generalized polygons Hendrik Van Maldeghem
- 3. Buildings and classical groups Linus Kramer
- 4. Twin buildings Bernhard Muhlherr
- 5. Twin trees and twin buildings Mark Ronan
- 6. Simple groups of finite Morley rank of even type Tuna Altinel
- 7. BN-pairs and groups of finite Morley rank Katrin Tent
- 8. CM-trivial stable groups Andreas Baudisch
- 9. Amalgames de Hrushovski Bruno Poizat
- 10. Rank and homogeneous structures John T. Baldwin
- 11. Constructions of semilinear towers of Steiner systems Keith Johnson
- 12. Introduction to the Lascar group Martin Ziegler.
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